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Finding the Fourth Proportional to 639.90, 959.63 and 310.82

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Solution

The fourth proportional to 639.90, 959.63 and 310.82 is: 466.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    639.90 : 959.63 = 310.82 : x
  2. Step 2: Convert to fraction form
    639.90/959.63 = 310.82/x
  3. Step 3: Cross multiply
    639.90x = 959.63 × 310.82
  4. Step 4: Simplify right side
    639.90x = 298,265.84
  5. Step 5: Solve for x
    x = 298,265.84/639.90
  6. Step 6: Final answer
    x = 466.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.